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Finding the Fourth Proportional to 568,715.41, 784,822.35 and 314,061.13

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Solution

The fourth proportional to 568,715.41, 784,822.35 and 314,061.13 is: 433,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,715.41 : 784,822.35 = 314,061.13 : x
  2. Step 2: Convert to fraction form
    568,715.41/784,822.35 = 314,061.13/x
  3. Step 3: Cross multiply
    568,715.41x = 784,822.35 × 314,061.13
  4. Step 4: Simplify right side
    568,715.41x = 246,482,194,090.26
  5. Step 5: Solve for x
    x = 246,482,194,090.26/568,715.41
  6. Step 6: Final answer
    x = 433,401.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.